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Finding the Fourth Proportional to 214,568.01, 296,035.43 and 123,912

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Solution

The fourth proportional to 214,568.01, 296,035.43 and 123,912 is: 170,959.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,568.01 : 296,035.43 = 123,912 : x
  2. Step 2: Convert to fraction form
    214,568.01/296,035.43 = 123,912/x
  3. Step 3: Cross multiply
    214,568.01x = 296,035.43 × 123,912
  4. Step 4: Simplify right side
    214,568.01x = 36,682,341,582.60
  5. Step 5: Solve for x
    x = 36,682,341,582.60/214,568.01
  6. Step 6: Final answer
    x = 170,959.04

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.